Nonstationary Stokes equations in a half-space with continuous initial data

DOI10.1007/s10958-005-0149-4zbMath1083.35095OpenAlexW2012160175MaRDI QIDQ2567748

Paolo Maremonti, Giulio Starita

Publication date: 13 October 2005

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0149-4

zbMATH Keywords

classical solutionnonstationary Stokes system

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03)

Related Items (10)

Maximum norm estimates of the solution of the Navier-Stokes equations in the halfspace with bounded initial data ⋮ Global existence of solutions to 2-D Navier-Stokes flow with non-decaying initial data in half-plane ⋮ Initial and boundary value problem of the unsteady Navier-Stokes system in the half-space with Hölder continuous boundary data ⋮ The \(L^\infty\)-Stokes semigroup in exterior domains ⋮ Notes on the space-time decay rate of the Stokes flows in the half space ⋮ Solvability for Stokes system in Hölder spaces in bounded domains and its applications ⋮ Spatial and temporal decay estimate of the Stokes flow of weighted \(L^1\) initial data in the half space ⋮ Infinite energy solutions to the Navier-Stokes equations in the half-space and applications ⋮ Stokes and Navier-Stokes problems in a half-space: the existence and uniqueness of solutions a priori nonconvergent to a limit at infinity ⋮ Weighted \(L^q-L^1\) estimate of the Stokes flow in the half space

Cites Work

• Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
• \(L_ q-L_ r\) estimates for solutions of the nonstationary Stokes equation in an exterior domain and the Navier-Stokes initial value problems in \(L_ q\) spaces
• Estimates for solutions of nonstationary Navier-Stokes equations
• Estimates for solutions of the nonstationary Stokes problem in anisotropic Sobolev spaces with mixed norm
• On a class of global solutions of the Navier-Stokes equations
• A solution formula for the Stokes equation in Rn+
• Estimates of the solutions of a nonstationary linearized system of Navier-Stokes equations
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